, Volume 79, Issue 4, pp 269-294

On Perfect Semigroups

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Abstract

It is shown that in order to characterize perfect semigroups in general, it suffices to characterize perfect semigroups among semigroups S such that S is a subsemigroup of a rational vector space, carries the identical involution, and has an archimedean component H such that S = H ∪ {0}.